811105906688 has 208 divisors, whose sum is σ = 2029080286464. Its totient is φ = 314948321280.

The previous prime is 811105906687. The next prime is 811105906747. The reversal of 811105906688 is 886609501118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811105906687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96821156 + ... + 96829532.

Almost surely, 2^811105906688 is an apocalyptic number.

811105906688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811105906688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014540143232).

811105906688 is an abundant number, since it is smaller than the sum of its proper divisors (1217974379776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

811105906688 is a wasteful number, since it uses less digits than its factorization.

811105906688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8726 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 53.

The spelling of 811105906688 in words is "eight hundred eleven billion, one hundred five million, nine hundred six thousand, six hundred eighty-eight".